Skip to main content
SpringerLink
Log in

Marginal distributions of sequential and generalized order statistics

  • Published:
Metrika Aims and scope Submit manuscript

Abstract

Expressions for marginal distribution functions of sequential order statistics and generalized order statistics are presented without any restrictions imposed on the model parameters. The results are related to the relevation transform, to the distribution of the product of Beta distributed random variables, and to Meijer’s G-functions. Some selected applications in the areas of moments, conditional distributions, recurrence relations, and reliability properties are shown.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Oldenburg, 26111, Oldenburg, Germany

    Erhard Cramer & Udo Kamps

Authors
  1. Erhard Cramer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Udo Kamps
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Key words:Order statistics; Generalized order statistics; Sequential order statistics; Record values; Distribution theory; Meijer’s G-function; Recurrence relations; Reliability properties.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cramer, E., Kamps, U. Marginal distributions of sequential and generalized order statistics. Metrika 58, 293–310 (2003). https://doi.org/10.1007/s001840300268

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s001840300268

Keywords

Search

Navigation